Refer to the following number series and answer the question that follows (all numbers are single-digit numbers only).
(Left) 9 3 5 7 2 4 6 1 8 9 2 5 3 7 4 6 1 8 9 5 2 4 (Right)
How many unique single-digit numbers in the series are divisible by 3 (each single-digit number counted only once, regardless of repetitions)?
- AOption (a)
One
- BOption (b)
Two
- COption (c)
Three
- DOption (d)
None
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Correct answer
Three
Why this answer is correct
Given: (Left) 3, 6, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9 (Right)
Now,
We need to identify the unique single-digit numbers present in the series and count those that are exactly divisible by 3.
(Left) 3, 6, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9 (Right)
Now, identifying unique digits: 1, 2, 3, 4, 5, 6, 7, 8, 9
| Digit | Division | Result | Remainder | Status |
|---|---|---|---|---|
| 3 | 3 ÷ 3 | 1 | 0 | Divisible |
| 6 | 6 ÷ 3 | 2 | 0 | Divisible |
| 9 | 9 ÷ 3 | 3 | 0 | Divisible |
Now, only valid unique digits: {3, 6, 9}
Total unique single-digit numbers divisible by 3 = 3
Hence, the correct answer is "Option 3".